Nature of the Quantum Phase Transition in Quantum Compass Model

Details Nature of the Quantum Phase Transition in Quantum Compass Model Nature of the Quantum Phase Transition in Quantum Compass Model

2006-12-07

arxiv.org/abs/cond-mat/0612195v1

Phys Rev B 75, 144401 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 10 figs

Scientific paper

10.1103/PhysRevB.75.144401

In this work, we show that the quantum compass model on an square lattice can be mapped to a fermionic model with local density interaction. We introduce a mean-field approximation where the most important fluctuations, those perpendicular to the ordering direction, are taken into account exactly. It is found that the quantum phase transition point at $J_x=J_z$ marks a first order phase transition. We also show that the mean field result is robust against the remaining fluctuation corrections up to the second order.

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